# Stored data for newform 1520.2.a.t, downloaded from the LMFDB on 23 April 2024.
{"label": "1520.2.a.t", "space_label": "1520.2.a", "level": 1520, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953595376, "dim": 4, "is_polredabs": true, "nf_label": "4.4.11344.1", "trace_hash": 269101968107573509, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-4, -16, -8, 2, 1]], [7, [32, -48, -16, 4, 1]]], "qexp_display": "q+\\beta _{2}q^{3}-q^{5}+(-1+\\beta _{1})q^{7}+(2-\\beta _{3})q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6080, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 12.137261107234618, "hecke_ring_index": 4, "level_radical": 190, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 11344, "field_disc_factorization": [[2, 4], [709, 1]], "field_poly": [3, 4, -4, -2, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.104", "prec": 17}, {"__RealLiteral__": 0, "data": "3.670", "prec": 17}, {"__RealLiteral__": 0, "data": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "38.571", "prec": 20}, {"__RealLiteral__": 0, "data": "22.504", "prec": 20}, {"__RealLiteral__": 0, "data": "625.951", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [19, 1]], "trace_display": [0, -2, -4, -4], "traces": [0, 4, 0, -2, 0, -4, 0, -4, 0, 8, 0, -4, 0, 2, 0, 2, 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